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2 years ago

14

An electron is moving at 2.02.0 ×× 105m/s105 m/s in the positive y direction. The magnetic force on the electron is 3.03.0 ×× 10

10−12−12 ????N in the negative-z direction. What is the magnitude and direction of the magnetic field?

1 answer:

inn [45]2 years ago

6 0

Answer:

The magnitude and direction of the magnetic field is 93.63 T in negative x direction.

Explanation:

Given;

speed of the electron in positive y direction, v = 2.0 x 10⁵ m/s

magnetic force on the electron, F in negative z direction = 3.0 x 10⁻¹² N

The magnitude of the magnetic force is given by;

F = Qv x B

B = F / Qv

$B = \frac{3*10^{-12}}{ (1.602*10^{-19})(2*10^5)}\\\\B = 93.63 \ T$

The direction of the magnetic field is is as;

Based on the direction of magnetic force (negative z direction), the charge will be directed into negative y-direction because electron is negatively charged. Thus, the direction of the magnetic field will be in the negative x-direction

$F_{(-z)}= Q_{(-y)}V* B_{(-x)}$

Therefore, the magnitude and direction of the magnetic field is 93.63 T in negative x direction.

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Give an example of hypothesis for an experiment and then identify its dependent and independent variables. Write all the steps o

e-lub [12.9K]

An example of a hypothesis for an experiment might be: “A basketball will bounce higher if there is more air it”

Step one would be to make an observation... “hey, my b-ball doesn’t have much air in it, and it isn’t bouncing ver high”

Step two is to form your hypothesis: “A basketball will bounce higher if there is more air it”

Step three is to test your hypothesis: maybe you want to drop the ball from a certain height, deflate it by some amount and then drop it from that same height again, and record how high the ball bounced each time.

Here the independent variable is how much air is in the basketball (what you want to change) and the dependent variable is how high the b-ball will bounce (what will change as a result of the independent variable)

Step four is to record all of your results and step five is to analyze that data. Does your data support your hypothesis? Why or why not?

You should only test one variable at a time because it is easier to tell why the results are how they are; you only have one cause.

Hope this helps!

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3 years ago

A long solenoid with 1.65 103 turns per meter and radius 2.00 cm carries an oscillating current I = 6.00 sin 90πt, where I is in

Leno4ka [110]

Answer:

The electric field is $35\cos(90\pi t)\ mV/m$

Explanation:

Given that,

Radius = 2.00 cm

Number of turns per unit length $n= 1.65\times10^{3}$

Current $I = 6.00\sin 90\pi t$

We need to calculate the induced emf

$\epsilon =\mu_{0}nA\dfrac{dI}{dt}$

Where, n = number of turns per unit length

A = area of cross section

$\dfrac{dI}{dt}$ =rate of current

Formula of electric field is defined as,

$E=\dfrac{\epsilon}{2\pi r}$

Where, r = radius

Put the value of emf in equation (I)

$E=\dfrac{\mu_{0}nA\dfrac{dI}{dt}}{2\pi r}$ ....(II)

We need to calculate the rate of current

$I=6.00\sin 90\pi t$ ....(III)

On differentiating equation (III)

$\dfrac{dI}{dt}=90\pi\times6.00\cos(90\pi t)$

Now, put the value of rate of current in equation (II)

$E=\dfrac{4\pi\times10^{-7}\times1.65\times10^{3}\times\pi\times(2.00\times10^{-2})^2\times90\pi\times6.00\cos(90\pi t)}{2\pi\times 2.00\times10^{-2}}$

$E=35\cos(90\pi t)\ mV/m$

Hence, The electric field is $35\cos(90\pi t)\ mV/m$

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3 years ago

Read 2 more answers

The scientist who incorrectly theorized that it was the positive charge that moved through a circuit was...

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The name of the scientist who incorrectly theorized that it was the positive charge that moved through a circuit is Benjamin Franklin. Franklin made his famous experiments with a kite in a charged cloud.
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3 years ago

Jackie rides her bike to school every day and enjoys playing beach volleyball on weekends. She also helps with tasks around the

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Answer:

The correct answer is - C) Jackie may maintain healthy body fat levels.

Explanation:

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Being physically active helps in maintaining fat levels in the body of an individual, and it is healthy for the individual.

Thus, the correct answer is - C) Jackie may maintain healthy body fat levels.

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2 years ago

A circuit contains a single 270-pf capacitor hooked across a battery. it is desired to store four times as much energy in a comb

yan [13]

The energy stored by a system of capacitors is given by
$U= \frac{1}{2}C_{eq} V^2$
where Ceq is the equivalent capacitance of the system, and V is the voltage applied.

In the formula, we can see there is a direct proportionality between U and C. This means that if we want to increase the energy stored by 4 times, we have to increase C by 4 times, if we keep the same voltage.

Calling $C_1 = 270 pF$ the capacitance of the original capacitor, we can solve the problem by asking that, adding a new capacitor with $C_x$ , the new equivalent capacitance of the system $C_{eq}$ must be equal to $4C_1$ . If we add the new capacitance X in parallel, the equivalent capacitance of the new system is the sum of the two capacitance
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$C_1+C_x = 4C_1$
from which we find
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3 years ago